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nata0808 [166]
3 years ago
10

A box in the shape of a rectangular prism has a volume of 96 cubic feet. The box has a length of (x+8) feet, a width of x feet,

and a height of (x-2) feet. Find the dimensions of the box.
Mathematics
1 answer:
anygoal [31]3 years ago
3 0
96=(x+8)*x*(x-2)=x^3 +6x^2 -16x. Solve to get x= -6,-4,4. Negative distance doesn't make sense, so x=+4. Therefore, length is (x+8)=(4+8)= 12, width=x=4, and height=(x-2)=(4-2)=2.
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Use suitable identities to find the following products <br><br>(x-5) (x-5)​
Marrrta [24]

Step-by-step explanation:

(x - 5)(x - 5) \\  {x}^{2}  - 5x - 5x + 25 \\  {x}^{2}  - 10x + 25

I hope it makes sense

:)

7 0
3 years ago
Jessie read 1/3 of a book in the morning, and she read some more at night. By the end of the day, she still had 1/5 of the book
Mrac [35]
7/15 She read 7/15 at night
6 0
3 years ago
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HELP ASAP!!!!! Given: Point B is on the perpendicular bisector of AC¯¯¯¯¯. BD¯¯¯¯¯ bisects AC¯¯¯¯¯ at point D. Prove: B is equid
Harlamova29_29 [7]

Answer:  Missing parts are,

In first blank,  AD\cong DC,

In second blank, SAS postulate

In third blank, CPCTC postulate

Step-by-step explanation:

Since, Here D is the mid point on the line segment AC.

And BD is a perpendicular to the line AC.

Therefore, In triangles ADB and CDB ( shown in figure)

AD\cong DC ( By the definition of mid point)

\angle BDA\cong \angle BDC ( right angles )

BD\cong BD ( reflexive)

Thus, By SAS ( side angle side )postulate,

\triangle ADB\cong \triangle CDB

So, by CPCTC( Corresponding parts of congruent triangles are congruent)

AB\cong CB

Now, By definition of congruent segment,

AB=CB

By definition of equidistant,

B is equally far from both A and C.




7 0
3 years ago
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In rhombus ABCD, the diagonal line AC and line BD intersect at E. If AE=5 and BE = 12, what is the length of line AB?
Reika [66]
From a formula located here:
http://www.1728.org/quadltrl.htm
we see that
<span>4 • Side² = Long Diagonal² + Short Diagonal²
Long Diagonal = 24
Short Diagonal = 10
</span><span>4 • Side² = 24^2 + 10^2 </span>
<span>4 • Side² = 576 + 100
</span><span>4 • Side² = 676
</span><span><span>Side²</span> = 169
Side (or line AB) = 13

</span>



8 0
3 years ago
Choose Yes or No to tell whether the Addition Property of Inequality can be used to solve each statement. w – 4 &gt; –10 12 ≥ 20
Alex

Answer:

No

Step-by-step explanation:

The inequality will not be the same if the same amount is added both sides.

The addition property states that if the same quantity is added to both sides, then the inequality still remains true. Take for example:

let x, y, and z be real numbers. It follows that:

if x ≥ y, then x + z ≥ y + z

This holds true for whatever value of z

If x ≤ y, then x + z ≤ y + z

The inequality remains true.

4 0
3 years ago
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